I would suggest learning all about jujitsu before you go shopping for another art. There is plenty of offense in jujitsu and if you're searching for a "hitting art", the opportunities that exist in jujitsu are limitless. Like many others, you're evidently being taught by someone who is so stuck on one phase of training that they aren't expressing any understanding of their whole art.
There is a whole separate "art" (branch of jujitsu) known as "kyusho jitsu" that involves "methods of striking the body", which is taught primarily as a "hitting point" study of the body and it's vunerable points that can be struck or pressed to disable your opponent. It too is just another expression of jujitsu training, but the striking methods of most arts are the same, only the tactical uses differ.
You have to understand that many of these "teachers" are students that learn just enough to go out and show off a bit and gather a following. If they're legitimate senseis, you should be able to address the hitting methods of your art with them and have them give you reasonable answers about the techniques of your art that use them. Most of the jujitsu schools I've been associated with had a base of karate training affiliated with them to learn hitting skills. If you need to find another school to learn hitting skills, you need to find another jujitsu teacher as well, because every jujitsu style has hitting methods and skills built into their system.
I laugh every time I hear aikido people talk about there not being any striking techniques in Aikido, because I hit the opponent on every technique, usually several times as the technique is done, so there is a "level of understanding" that you need before you go "art shopping" to fill in your gaps. What you might need to do is have a talk with your sensei and see what their take on your problem is. If they tell you to go shopping, you need to find both another art
and another teacher.